20944038360960 has 1024 divisors, whose sum is σ = 90933925017600. Its totient is φ = 4482992701440.

The previous prime is 20944038360941. The next prime is 20944038360979. The reversal of 20944038360960 is 6906383044902.

20944038360960 is a `hidden beast` number, since 2 + 0 + 9 + 440 + 3 + 83 + 60 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (20944038360941) and next prime (20944038360979).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20944038360897 and 20944038360906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56649664 + ... + 57018176.

It is an arithmetic number, because the mean of its divisors is an integer number (88802661150).

Almost surely, 2^{20944038360960} is an apocalyptic number.

20944038360960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20944038360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45466962508800).

20944038360960 is an abundant number, since it is smaller than the sum of its proper divisors (69989886656640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20944038360960 is a wasteful number, since it uses less digits than its factorization.

20944038360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368588 (or 368570 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 20944038360960 in words is "twenty trillion, nine hundred forty-four billion, thirty-eight million, three hundred sixty thousand, nine hundred sixty".